5852736000 has 400 divisors, whose sum is σ = 21820467240. Its totient is φ = 1559347200.

The previous prime is 5852735983. The next prime is 5852736011. The reversal of 5852736000 is 6372585.

5852736000 is a `hidden beast` number, since 585 + 2 + 73 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 606341376 + 5246394624 = 24624^2 + 72432^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×5852736000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183436 + ... + 5184564.

Almost surely, 2^5852736000 is an apocalyptic number.

5852736000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910233620).

5852736000 is an abundant number, since it is smaller than the sum of its proper divisors (15967731240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5852736000 is an equidigital number, since it uses as much as digits as its factorization.

5852736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5852736000 is about 76503.1764046435. The cubic root of 5852736000 is about 1802.1308099208.

The spelling of 5852736000 in words is "five billion, eight hundred fifty-two million, seven hundred thirty-six thousand".